What is the Greatest Common Factor of 76506 and 76515?

Greatest common factor (GCF) of 76506 and 76515 is 3.

GCF(76506,76515) = 3

We will now calculate the prime factors of 76506 and 76515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76506 and 76515.

How to find the GCF of 76506 and 76515?

We will first find the prime factorization of 76506 and 76515. After we will calculate the factors of 76506 and 76515 and find the biggest common factor number .

Step-1: Prime Factorization of 76506

Prime factors of 76506 are 2, 3, 41, 311. Prime factorization of 76506 in exponential form is:

76506 = 2¹ × 3¹ × 41¹ × 311¹

Step-2: Prime Factorization of 76515

Prime factors of 76515 are 3, 5, 5101. Prime factorization of 76515 in exponential form is:

76515 = 3¹ × 5¹ × 5101¹

Step-3: Factors of 76506

List of positive integer factors of 76506 that divides 76506 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 311, 622, 933, 1866, 12751, 25502, 38253

Step-4: Factors of 76515

List of positive integer factors of 76515 that divides 76506 without a remainder.

1, 3, 5, 15, 5101, 15303, 25505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76506 and 76515. The biggest common factor number is the GCF number.
So the greatest common factor 76506 and 76515 is 3.

Also check out the Least Common Multiple of 76506 and 76515